The geometry of the moduli space of biquadratic field extensions

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dc.contributor.advisorMarques, Sophieen_ZA
dc.contributor.authorCele, Mpenduloen_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division Mathematics.en_ZA
dc.date.accessioned2020-12-01T10:19:07Z
dc.date.accessioned2021-01-31T19:45:36Z
dc.date.available2020-12-01T10:19:07Z
dc.date.available2021-01-31T19:45:36Z
dc.date.issued2020-12
dc.descriptionThesis (MSc)--Stellenbosch University, 2019.en_ZA
dc.description.abstractENGLISH ABSTRACT: Mathematicians are always interested in understanding mathematical objects from different angles, This makes the task of classifying mathematical objects useful, as it permits one to study a mathematical object and infer the conclusions on another mathematical object that has the same underlying structure as the one studied. In this thesis we study the moduli space of non-cyclic biquadratic field extensions over any field whose characteristic is not 2. Keywords : biquadratic, elementary abelian, Galois, radicalen_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Wiskundiges is altyd geïnteresseerd in die verstaan van wiskundige voorwerpe vanuit verskillende hoeke, Dit maak die taak om wiskundige voorwerpe te klassifiseer nuttig, aangesien dit een toelaat om a te bestudeer wiskundige voorwerp en lei die gevolgtrekkings oor ’n ander wiskundige voorwerp wat bestaan dieselfde onderliggende struktuur as die een wat bestudeer is. In hierdie tesis bestudeer ons die modulêre ruimte van nie-sikliese tweekadratiese velduitbreidings oor enige veld waarvan die kenmerk is so nie 2. tweekadratiese velduitbreidings oor enige veld waarvan die kenmerk is so nie 2. Keywords : bisadraties, elementere abeliaanse, Galois, radikaalaf_ZA
dc.description.versionMastersen_ZA
dc.format.extentvi, 53 pagesen_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/109342
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectModuli theoryen_ZA
dc.subjectGalois modules (Algebra)en_ZA
dc.subjectEquations, Abelianen_ZA
dc.subjectEquations, Biquadraticen_ZA
dc.subjectGeometry, Algebraicen_ZA
dc.subjectField extensions (Mathematics)en_ZA
dc.subjectUCTD
dc.titleThe geometry of the moduli space of biquadratic field extensionsen_ZA
dc.typeThesisen_ZA
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